Least Common Multiple of 378/56, 722/80, 524/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/56, 722/80, 524/930 quickly i.e. 17875998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/56, 722/80, 524/930 is 17875998.

LCM(378/56, 722/80, 524/930) = 17875998

LCM of 378/56, 722/80, 524/930

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 378/56,722/80,524/930

Given numbers are 378/56,722/80,524/930

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 378,722,524

Least Common Multiple of Numerators i.e. LCM of 378,722,524 is 35751996.

GCF of Denominators means GCF of 56,80,930 as per the given fractions.

GCF of 56,80,930 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,722,524

LCM of Fractions 378/56,722/80,524/930 is 17875998

2 378, 722, 524
189, 361, 262

∴ So the LCM of the given numbers is 2 x 189 x 361 x 262 = 35751996

Least Common Multiple of 378,722,524 with GCF Formula

Least Common Multiple of 378,722,524 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 378,722,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,722,524) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(378,722,524) x common factors =2 x 2 = 4

LCM(378,722,524) = ( 378 × 722 × 524 ) / 4

LCM(378,722,524) = 143007984 / 4

LCM(378,722,524) = 35751996


Lets's calculate GCF of 56,80,930

2 56, 80, 930
28, 40, 465

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35751996/2

Therefore the LCM of Fractions 378/56,722/80,524/930 is 17875998

Greatest Common Factor of 56,80,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,80,930 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 56,80,930 . The biggest common factor number is the GCF number.
So the greatest common factor 56,80,930 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 378/56, 722/80, 524/930

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 378/56, 722/80, 524/930?

Answer: LCM of Numerators as per given numbers 378/56, 722/80, 524/930 is

LCM of Numerators i.e. for 378,722,524 is 35751996

GCF of denominators i.e. for 56,80,930 is 2.

Thus, LCM of Fractions is 17875998.Finally, LCM of Fractions for 378/56, 722/80, 524/930 is 17875998.